The following course plan is preliminary.
Lecture | Date | Topic | Chapters | Hand in Problem set |
1 | October 4 | Introduction | I.1 | |
2 | October 11 | Algebras and modules | I.1, I.2 | |
3 | October 18 | Structure of modules | I.3, I.4 | |
4 | October 25 | Morita theory | I.5, I.6 | |
5 | November 1 | Path algebras of quivers | II.1 | 1 |
6 | November 8 | The quiver of a finite dimensional algebra | II.2, II.3 | |
7 | November 15 | Quiver representations | III.1, III.2 | 2 |
8 | November 22 | Dimension vectors and Euler characteristic | III.2, III.3 | |
9 | November 29 | Almost split sequences | IV.1 | 3 |
10 | December 6 | The Auslander-Reiten translation | IV.2 | |
11 | December 13 | The Auslander-Reiten quiver | IV.3, IV.4 | 4 |
12 | December 20 | Hereditary algebras | VII.1, VII.2 | |
13 | January 17 | Integral quadratic forms 1 | VII.3 | 5 |
14 | January 24 | Integral quadratic forms 2 | VII.4 | |
15 | January 31 | Gabriel's Theorem | VII.5 | 6 |